Finding the Third Proportional to 224,742 and 491,464

Step by Step Solution

1. Step 1: Write the proportion equation
   224,742 : 491,464 = 491,464 : x
2. Step 2: Convert to fraction form
   224,742/491,464 = 491,464/x
3. Step 3: Cross multiply
   224,742x = 491,464 × 491,464
4. Step 4: Simplify right side
   224,742x = 241,536,863,296
5. Step 5: Solve for x
   x = 241,536,863,296/224,742
6. Step 6: Final answer
   x = 1,074,729.53